%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT270-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n012.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:02:28 PM UTC 2026
% Result : Unsatisfiable 0.03s 0.32s
% Output : CNFRefutation 0.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 15 ( 10 unt; 0 def)
% Number of atoms : 27 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 12 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-4 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
c_in(v_a,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
c_in(v_b,v_A,t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [V_b,V_a,V_S] :
( c_lessequals(V_S,v_A,tc_set(t_a))
| ~ c_lessequals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a))
| ~ c_in(V_a,v_A,t_a)
| ~ c_in(V_b,v_A,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
c_in(v_a,v_A,t_a),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f7,plain,
c_in(v_b,v_A,t_a),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f8,plain,
c_lessequals(v_S,c_Tarski_Ointerval(v_r,v_a,v_b,t_a),tc_set(t_a)),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f9,plain,
~ c_lessequals(v_S,v_A,tc_set(t_a)),
inference(cnf_transformation,[status(thm)],[f4]) ).
fof(f10,plain,
! [V_S] :
( c_lessequals(V_S,v_A,tc_set(t_a))
| ! [V_b,V_a] :
( ~ c_lessequals(V_S,c_Tarski_Ointerval(v_r,V_a,V_b,t_a),tc_set(t_a))
| ~ c_in(V_a,v_A,t_a)
| ~ c_in(V_b,v_A,t_a) ) ),
inference(miniscoping,[status(thm)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] :
( c_lessequals(X2,v_A,tc_set(t_a))
| ~ c_lessequals(X2,c_Tarski_Ointerval(v_r,X1,X0,t_a),tc_set(t_a))
| ~ c_in(X1,v_A,t_a)
| ~ c_in(X0,v_A,t_a) ),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f12,plain,
( c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_a,v_A,t_a)
| ~ c_in(v_b,v_A,t_a) ),
inference(resolution,[status(thm)],[f11,f8]) ).
fof(f13,plain,
( c_lessequals(v_S,v_A,tc_set(t_a))
| ~ c_in(v_a,v_A,t_a) ),
inference(forward_subsumption_resolution,[status(thm)],[f12,f7]) ).
fof(f15,plain,
c_lessequals(v_S,v_A,tc_set(t_a)),
inference(forward_subsumption_resolution,[status(thm)],[f13,f6]) ).
fof(f16,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f9,f15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : LAT270-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Sun Sep 20 23:24:06 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 0.03/0.32 % Refutation found
% 0.03/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.03/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.03/0.34 % Elapsed time: 0.040048 seconds
% 0.03/0.34 % CPU time: 0.071935 seconds
% 0.03/0.34 % Total memory used: 55.347 MB
% 0.03/0.34 % Net memory used: 54.771 MB
%------------------------------------------------------------------------------